
where \(M_{s0}^{(nlm)}\)  is the initial mass of the \(\lbrace n,l,m\rbrace \)  mode. The dependence of \(\omega _I^{(nlm)}\)  on \(n\)  could be easily factored out with the LO analytic expression in the \(M\mu \ll 1\)  limit [1]}, [2]}, [3]},
\(\omega _I^{nlm} \propto \beta _{nl} \equiv \frac{(n+2l+1)!}{n!(n+l+1)^{2l+4}}.\) 
